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Finding the Third Proportional to 772,833 and 1,693,290

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Solution

The third proportional to 772,833 and 1,693,290 is: 3,710,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,833 : 1,693,290 = 1,693,290 : x
  2. Step 2: Convert to fraction form
    772,833/1,693,290 = 1,693,290/x
  3. Step 3: Cross multiply
    772,833x = 1,693,290 × 1,693,290
  4. Step 4: Simplify right side
    772,833x = 2,867,231,024,100
  5. Step 5: Solve for x
    x = 2,867,231,024,100/772,833
  6. Step 6: Final answer
    x = 3,710,026.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.